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Subjects
Mathematics State Board
Class 9
Coordinate Geometry
Co-ordinate system and Properties of distance
21.
Five marks exercise problems VII
Exercise condition:
5
m.
Show that the following points taken in order form an isosceles triangle.
\(A(5, 4)\), \(B(2, 0)\), \(C(-2, 3)\)
Proof
:
AB
=
i
BC
=
i
CA
=
i
i
AB = BC
AB = CA
BC = CA
and
AB + BC > CA
BC + CA > AB
AB + CA > BC
Thus, \(ABC\) is an isosceles triangle.
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